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Finding the Third Proportional to 261,964.69 and 394,244.44

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Solution

The third proportional to 261,964.69 and 394,244.44 is: 593,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,964.69 : 394,244.44 = 394,244.44 : x
  2. Step 2: Convert to fraction form
    261,964.69/394,244.44 = 394,244.44/x
  3. Step 3: Cross multiply
    261,964.69x = 394,244.44 × 394,244.44
  4. Step 4: Simplify right side
    261,964.69x = 155,428,676,499.69
  5. Step 5: Solve for x
    x = 155,428,676,499.69/261,964.69
  6. Step 6: Final answer
    x = 593,319.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.